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Finding the Fourth Proportional to 16,011.43, 22,094.85 and 8,938.30

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Solution

The fourth proportional to 16,011.43, 22,094.85 and 8,938.30 is: 12,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.43 : 22,094.85 = 8,938.30 : x
  2. Step 2: Convert to fraction form
    16,011.43/22,094.85 = 8,938.30/x
  3. Step 3: Cross multiply
    16,011.43x = 22,094.85 × 8,938.30
  4. Step 4: Simplify right side
    16,011.43x = 197,490,287.28
  5. Step 5: Solve for x
    x = 197,490,287.28/16,011.43
  6. Step 6: Final answer
    x = 12,334.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.